Mandel, Travis; Ruddat, Helge Tropical quantum field theory, mirror polyvector fields, and multiplicities of tropical curves. (English) Zbl 1518.14082 Int. Math. Res. Not. 2023, No. 4, 3249-3304 (2023). Reviewer: Simon Felten (New York) MSC: 14T20 14N35 14A21 PDFBibTeX XMLCite \textit{T. Mandel} and \textit{H. Ruddat}, Int. Math. Res. Not. 2023, No. 4, 3249--3304 (2023; Zbl 1518.14082) Full Text: DOI arXiv
Kim, Bumsig; Lho, Hyenho; Ruddat, Helge The degeneration formula for stable log maps. (English) Zbl 1511.14094 Manuscr. Math. 170, No. 1-2, 63-107 (2023). Reviewer: Insong Choe (Seoul) MSC: 14N35 53D45 14D06 PDFBibTeX XMLCite \textit{B. Kim} et al., Manuscr. Math. 170, No. 1--2, 63--107 (2023; Zbl 1511.14094) Full Text: DOI arXiv
Corti, Alessio; Ruddat, Helge How to make log structures. arXiv:2312.13867 Preprint, arXiv:2312.13867 [math.AG] (2023). MSC: 14A21 14D23 14B07 14M25 14E15 14J33 14J45 BibTeX Cite \textit{A. Corti} and \textit{H. Ruddat}, ``How to make log structures'', Preprint, arXiv:2312.13867 [math.AG] (2023) Full Text: arXiv OA License
Gräfnitz, Tim; Ruddat, Helge; Zaslow, Eric The proper Landau-Ginzburg potential is the open mirror map. arXiv:2204.12249 Preprint, arXiv:2204.12249 [math.AG] (2022). MSC: 14J33 53D37 14J45 14N10 13F60 14T20 BibTeX Cite \textit{T. Gräfnitz} et al., ``The proper Landau-Ginzburg potential is the open mirror map'', Preprint, arXiv:2204.12249 [math.AG] (2022) Full Text: arXiv OA License
Ruddat, Helge; Zharkov, Ilia Compactifying torus fibrations over integral affine manifolds with singularities. (English) Zbl 1484.14020 Wood, David R. (ed.) et al., 2019–20 MATRIX annals. Cham: Springer. MATRIX Book Ser. 4, 609-622 (2021). MSC: 14D06 57S12 PDFBibTeX XMLCite \textit{H. Ruddat} and \textit{I. Zharkov}, MATRIX Book Ser. 4, 609--622 (2021; Zbl 1484.14020) Full Text: DOI arXiv
Ruddat, Helge A homology theory for tropical cycles on integral affine manifolds and a perfect pairing. (English) Zbl 1490.14062 Geom. Topol. 25, No. 6, 3079-3132 (2021). MSC: 14J32 05E45 14D06 14T20 32S60 55U10 14J33 14M25 PDFBibTeX XMLCite \textit{H. Ruddat}, Geom. Topol. 25, No. 6, 3079--3132 (2021; Zbl 1490.14062) Full Text: DOI arXiv
Felten, Simon; Filip, Matej; Ruddat, Helge Smoothing toroidal crossing spaces. (English) Zbl 1483.14067 Forum Math. Pi 9, Paper No. e7, 36 p. (2021). Reviewer: Siu Cheong Lau (Boston) MSC: 14J32 32G05 14J45 PDFBibTeX XMLCite \textit{S. Felten} et al., Forum Math. Pi 9, Paper No. e7, 36 p. (2021; Zbl 1483.14067) Full Text: DOI arXiv
Ruddat, Helge; Zharkov, Ilia Tailoring a pair of pants. (English) Zbl 1506.14086 Adv. Math. 381, Article ID 107622, 27 p. (2021). MSC: 14J33 14J32 14T20 53D37 14M25 57R52 PDFBibTeX XMLCite \textit{H. Ruddat} and \textit{I. Zharkov}, Adv. Math. 381, Article ID 107622, 27 p. (2021; Zbl 1506.14086) Full Text: DOI arXiv
Ruddat, Helge; Siebert, Bernd Period integrals from wall structures via tropical cycles, canonical coordinates in mirror symmetry and analyticity of toric degenerations. (English) Zbl 1454.14110 Publ. Math., Inst. Hautes Étud. Sci. 132, 1-82 (2020). Reviewer: Thomas Blomme (Paris) MSC: 14J33 53D37 14F99 14M25 PDFBibTeX XMLCite \textit{H. Ruddat} and \textit{B. Siebert}, Publ. Math., Inst. Hautes Étud. Sci. 132, 1--82 (2020; Zbl 1454.14110) Full Text: DOI arXiv
Mak, Cheuk Yu; Ruddat, Helge Tropically constructed Lagrangians in mirror quintic threefolds. (English) Zbl 1471.14084 Forum Math. Sigma 8, Paper No. e58, 55 p. (2020). Reviewer: Hulya Arguz (London) MSC: 14J32 14T20 14T90 53D37 57R17 53D12 PDFBibTeX XMLCite \textit{C. Y. Mak} and \textit{H. Ruddat}, Forum Math. Sigma 8, Paper No. e58, 55 p. (2020; Zbl 1471.14084) Full Text: DOI arXiv
Mandel, Travis; Ruddat, Helge Descendant log Gromov-Witten invariants for toric varieties and tropical curves. (English) Zbl 1442.14166 Trans. Am. Math. Soc. 373, No. 2, 1109-1152 (2020). Reviewer: Hulya Arguz (London) MSC: 14M25 14N10 14N35 14T15 PDFBibTeX XMLCite \textit{T. Mandel} and \textit{H. Ruddat}, Trans. Am. Math. Soc. 373, No. 2, 1109--1152 (2020; Zbl 1442.14166) Full Text: DOI arXiv
Abramovich, Dan (ed.); van Garrel, Michel (ed.); Ruddat, Helge (ed.) Logarithmic enumerative geometry and mirror symmetry. Abstracts from the workshop held June 16–22, 2019. (English) Zbl 1439.00039 Oberwolfach Rep. 16, No. 2, 1639-1695 (2019). MSC: 00B05 00B25 14-06 14A21 14N35 14J33 14T20 53D37 53D42 53D45 PDFBibTeX XMLCite \textit{D. Abramovich} (ed.) et al., Oberwolfach Rep. 16, No. 2, 1639--1695 (2019; Zbl 1439.00039) Full Text: DOI
van Garrel, Michel; Graber, Tom; Ruddat, Helge Local Gromov-Witten invariants are log invariants. (English) Zbl 1440.14260 Adv. Math. 350, 860-876 (2019). MSC: 14N35 14A21 PDFBibTeX XMLCite \textit{M. van Garrel} et al., Adv. Math. 350, 860--876 (2019; Zbl 1440.14260) Full Text: DOI arXiv
Ruddat, Helge Local uniqueness of approximations and finite determinacy of log morphisms. arXiv:1812.02195 Preprint, arXiv:1812.02195 [math.AG] (2018). MSC: 32S30 14B05 14B12 14J17 13D10 14D06 BibTeX Cite \textit{H. Ruddat}, ``Local uniqueness of approximations and finite determinacy of log morphisms'', Preprint, arXiv:1812.02195 [math.AG] (2018) Full Text: arXiv OA License
Gross, Mark; Katzarkov, Ludmil; Ruddat, Helge Towards mirror symmetry for varieties of general type. (English) Zbl 1371.14046 Adv. Math. 308, 208-275 (2017). Reviewer: Natalie Paquette (Stanford) MSC: 14J33 14C30 PDFBibTeX XMLCite \textit{M. Gross} et al., Adv. Math. 308, 208--275 (2017; Zbl 1371.14046) Full Text: DOI arXiv
Ruddat, Helge Perverse curves and mirror symmetry. (English) Zbl 1354.14063 J. Algebr. Geom. 26, No. 1, 17-42 (2017). Reviewer: Ruifang Song (Mountain View) MSC: 14J33 32S35 14D06 PDFBibTeX XMLCite \textit{H. Ruddat}, J. Algebr. Geom. 26, No. 1, 17--42 (2017; Zbl 1354.14063) Full Text: DOI arXiv
Nicaise, Johannes; Overholser, D. Peter; Ruddat, Helge Motivic zeta functions of the quartic and its mirror dual. (English) Zbl 1362.14038 Bouchard, Vincent (ed.) et al., String-Math 2014. Proceedings of the conference and satellite workshops, University of Alberta, Edmonton, Alberta, Canada, June 9–13, 2014. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1992-9/hbk; 978-1-4704-3015-3/ebook). Proceedings of Symposia in Pure Mathematics 93, 189-200 (2016). Reviewer: Noriko Yui (Kingston) MSC: 14J28 14J33 14D05 14G10 11G42 14M25 14E18 PDFBibTeX XMLCite \textit{J. Nicaise} et al., Proc. Symp. Pure Math. 93, 189--200 (2016; Zbl 1362.14038) Full Text: arXiv
van Garrel, Michel; Overholser, D. Peter; Ruddat, Helge Enumerative aspects of the Gross-Siebert program. (English) Zbl 1329.14104 Laza, Radu (ed.) et al., Calabi-Yau varieties: arithmetic, geometry and physics. Lecture notes on concentrated graduate courses, Toronto, Canada, July 1 – December 31, 2013. Toronto: The Fields Institute for Research in the Mathematical Sciences; New York, NY: Springer (ISBN 978-1-4939-2829-3/hbk; 978-1-4939-2830-9/ebook). Fields Institute Monographs 34, 337-420 (2015). MSC: 14N35 14J33 53D45 14T05 PDFBibTeX XMLCite \textit{M. van Garrel} et al., Fields Inst. Monogr. 34, 337--420 (2015; Zbl 1329.14104) Full Text: DOI arXiv Link
Filippini, Sara Angela; Ruddat, Helge; Thompson, Alan An introduction to Hodge structures. (English) Zbl 1329.14001 Laza, Radu (ed.) et al., Calabi-Yau varieties: arithmetic, geometry and physics. Lecture notes on concentrated graduate courses, Toronto, Canada, July 1 – December 31, 2013. Toronto: The Fields Institute for Research in the Mathematical Sciences; New York, NY: Springer (ISBN 978-1-4939-2829-3/hbk; 978-1-4939-2830-9/ebook). Fields Institute Monographs 34, 83-130 (2015). MSC: 14-02 14C30 PDFBibTeX XMLCite \textit{S. A. Filippini} et al., Fields Inst. Monogr. 34, 83--130 (2015; Zbl 1329.14001) Full Text: DOI arXiv
Ruddat, Helge Mirror duality of Landau-Ginzburg models via discrete Legendre transforms. (English) Zbl 1317.53117 Castano-Bernard, Ricardo (ed.) et al., Homological mirror symmetry and tropical geometry. Based on the workshop on mirror symmetry and tropical geometry, Cetraro, Italy, July 2–8, 2011. Cham: Springer (ISBN 978-3-319-06513-7/pbk; 978-3-319-06514-4/ebook). Lecture Notes of the Unione Matematica Italiana 15, 377-406 (2014). MSC: 53D37 53D40 14J33 14J32 14J10 PDFBibTeX XMLCite \textit{H. Ruddat}, Lect. Notes Unione Mat. Ital. 15, 377--406 (2014; Zbl 1317.53117) Full Text: DOI arXiv
Ruddat, Helge; Sibilla, Nicolò; Treumann, David; Zaslow, Eric Skeleta of affine hypersurfaces. (English) Zbl 1326.14102 Geom. Topol. 18, No. 3, 1343-1395 (2014). MSC: 14J70 14M25 14R99 PDFBibTeX XMLCite \textit{H. Ruddat} et al., Geom. Topol. 18, No. 3, 1343--1395 (2014; Zbl 1326.14102) Full Text: DOI arXiv
Ruddat, Helge; Siebert, Bernd Canonical Coordinates in Toric Degenerations. arXiv:1409.4750 Preprint, arXiv:1409.4750 [math.AG] (2014). MSC: 14J32 32Q25 14J33 14H15 32G20 14M25 BibTeX Cite \textit{H. Ruddat} and \textit{B. Siebert}, ``Canonical Coordinates in Toric Degenerations'', Preprint, arXiv:1409.4750 [math.AG] (2014) Full Text: arXiv OA License
Ruddat, Helge Log Hodge groups on a toric Calabi-Yau degeneration. (English) Zbl 1241.14017 Castaño-Bernard, Ricardo (ed.) et al., Mirror symmetry and tropical geometry. Proceedings of the NSF-CBMS conference on tropical geometry and mirror symmetry, Manhattan, KS, USA, December 13–17, 2008. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4884-5/pbk). Contemporary Mathematics 527, 113-164 (2010). MSC: 14J33 32S35 14M25 52B70 PDFBibTeX XMLCite \textit{H. Ruddat}, Contemp. Math. 527, 113--164 (2010; Zbl 1241.14017) Full Text: arXiv
Ruddat, Helge P. Log Hodge groups on a toric Calabi-Yau degeneration. (English) Zbl 1194.14005 Freiburg im Breisgau: Univ. Freiburg, Fakultät für Mathematik und Physik (Diss.). 79 p. (2008). MSC: 14-02 14C30 14J32 14D07 PDFBibTeX XMLCite \textit{H. P. Ruddat}, Log Hodge groups on a toric Calabi-Yau degeneration. Freiburg im Breisgau: Univ. Freiburg, Fakultät für Mathematik und Physik (Diss.) (2008; Zbl 1194.14005) Full Text: Link